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Simplifying 0 = x2 + 5x + -300 Reorder the terms: 0 = -300 + 5x + x2 Solving 0 = -300 + 5x + x2 Solving for variable 'x'. Combine like terms: 0 + 300 = 300 300 + -5x + -1x2 = -300 + 5x + x2 + 300 + -5x + -1x2 Reorder the terms: 300 + -5x + -1x2 = -300 + 300 + 5x + -5x + x2 + -1x2 Combine like terms: -300 + 300 = 0 300 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 300 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 300 + -5x + -1x2 = 0 + x2 + -1x2 300 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 300 + -5x + -1x2 = 0 Factor a trinomial. (15 + -1x)(20 + x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {15, -20}
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